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Finding the Third Proportional to 2,733,322,692 and 4,082,072,814

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Solution

The third proportional to 2,733,322,692 and 4,082,072,814 is: 6,096,359,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733,322,692 : 4,082,072,814 = 4,082,072,814 : x
  2. Step 2: Convert to fraction form
    2,733,322,692/4,082,072,814 = 4,082,072,814/x
  3. Step 3: Cross multiply
    2,733,322,692x = 4,082,072,814 × 4,082,072,814
  4. Step 4: Simplify right side
    2,733,322,692x = 16,663,318,458,797,879,296
  5. Step 5: Solve for x
    x = 16,663,318,458,797,879,296/2,733,322,692
  6. Step 6: Final answer
    x = 6,096,359,755.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.